(4) Solve the following simultaneous equations
49x - 57y = 172; 57x - 49y = 252
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Step-by-step explanation:
x-y =4
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Step-by-step explanation:
ANSWER
49x−57y=172...........(I)
57x−49y=252...........(II)
Adding (I) and (II)
49x+57x−57y−49y=172+252
⇒106x−106y=424
⇒x−y=4...............(III)
Subtracting (II) from (I) we have
49x+57x−57y−(−49y)=252−172
⇒−8x−8y=−80
⇒−x−y=−10
⇒x+y=10...............(IV)
Adding (III) and (IV)
x−y=4
x+y=10
⇒2x=14
⇒x=7
Putting the value of x = 7 in (IV) we get
7+y=10
⇒y=10−7
⇒y=3
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